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Finding the Fourth Proportional to 3,862.77, 5,794.16 and 2,218.28

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Solution

The fourth proportional to 3,862.77, 5,794.16 and 2,218.28 is: 3,327.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.77 : 5,794.16 = 2,218.28 : x
  2. Step 2: Convert to fraction form
    3,862.77/5,794.16 = 2,218.28/x
  3. Step 3: Cross multiply
    3,862.77x = 5,794.16 × 2,218.28
  4. Step 4: Simplify right side
    3,862.77x = 12,853,029.18
  5. Step 5: Solve for x
    x = 12,853,029.18/3,862.77
  6. Step 6: Final answer
    x = 3,327.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.